SinA+cosA=√2cosA ,prove that cosA-sinA=√2sinA

1.	SinA+cosA=√2cosA ,prove that cosA-sinA=√2sinA
Answer» SinA+cosA=√2cosASinA=√2cosA-cosASinA=(√2-1)cosASinA=(√2-1÷1×√2+1÷√2+1)×cosASinA=(2-1÷√2+1)×cosASinA=cosA÷√2+1(√2-1)×sinA=cosA√2sinA+sinA=cosA√2sinA=cosA-sinA

Discussion